Interval Valued Neutrosophic Linear Programming with Trapezoidal Numbers
Interval Valued Neutrosophic Linear Programming with Trapezoidal Numbers

Author: Stephy Stephen

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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In the real world problems, we are always dealing with uncertainty in almost all fields of approach. Neutrosophic sets helps us to deal with problems where inconsistent data are available. Application of Neutrosophic sets to real world problems, which are the generalized form of fuzzy sets is a platform where we can overcome this concept of uncertainty and obtain optimal results which can be relied on. In this paper, interval valued neutrosophic numbers are used to take into account the uncertainty in a still deeper way and Interval valued neutrosophic linear programming problem is solved with the help of the proposed ranking function and optimal results are obtained.

International Journal of Neutrosophic Science (IJNS) Volume 11, 2020
International Journal of Neutrosophic Science (IJNS) Volume 11, 2020

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 114

ISBN-13:

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International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

Solving fully neutrosophic linear programming problem with application to stock portfolio selection
Solving fully neutrosophic linear programming problem with application to stock portfolio selection

Author: Hamiden Abd El-Wahed Khalifa

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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Neutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. In this paper, a neutrosophic linear programming (NLP) problem with single-valued trapezoidal neutrosophic numbers is formulated and solved. A new method based on the so-called score function to find the neutrosophic optimal solution of fully neutrosophic linear programming (FNLP) problem is proposed.

The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment
The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment

Author: Said Broumi

Publisher: Infinite Study

Published:

Total Pages: 14

ISBN-13:

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Real-life decision-making problem has been demonstrated to cover the indeterminacy through single valued neutrosophic set. It is the extension of interval valued neutrosophic set. Most of the problems of real life involve some sort of uncertainty in it among which, one of the famous problem is finding a shortest path of the network. In this paper, a new score function is proposed for interval valued neutrosophic numbers and SPP is solved using interval valued neutrosophic numbers. Additionally, novel algorithms are proposed to find the neutrosophic shortest path by considering interval valued neutrosophic number, trapezoidal and triangular interval valued neutrosophic numbers for the length of the path in a network with illustrative example. Further, comparative analysis has been done for the proposed algorithm with the existing method with the shortcoming and advantage of the proposed method and it shows the effectiveness of the proposed algorithm.

Blockchain Single and Interval Valued Neutrosophic Graphs
Blockchain Single and Interval Valued Neutrosophic Graphs

Author: D. Nagarajan

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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Blockchain Technology (BCT) is a growing and reliable technology in various fields such as developing business deals, economic environments, social and politics as well. Without having a trusted central party this technology, gives the guarantee for safe and reliable transactions using Bitcoin or Ethereum. In this paper BCT has been considered using Bitcoins. Also Blockchain Single and Interval Valued Neutrosophic Graphs have been proposed and applied in transaction of Bitcoins. Also degree, total degree, minimum and maximum degree have been found for the proposed graphs. Further, comparative analysis is done with advantages and limitations of different types of Blockchain graphs.

A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number
A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number

Author: Hamiden Abd El-Wahed Khalifa

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 13

ISBN-13:

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Assignment problem (AP) is well- studied and important area in optimization. In this research manuscript, an assignment problem in neutrosophic environment, called as neutrosophic assignment problem (NAP), is introduced. The problem is proposed by using the interval-valued trapezoidal neutrosophic numbers in the elements of cost matrix. As per the concept of score function, the interval-valued trapezoidal neutrosophic assignment problem (IVTNAP) is transformed to the corresponding an interval-valued AP. To optimize the objective function in interval form, we use the order relations. These relations are the representations of choices of decision maker. The maximization (or minimization) model with objective function in interval form is changed to multi- objective based on order relations introduced by the decision makers' preference in case of interval profits (or costs). In the last, we solve a numerical example to support the proposed solution methodology.

Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making
Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

Author: Irfan Deli

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.

International Journal of Neutrosophic Science (IJNS) Volume 10, 2020
International Journal of Neutrosophic Science (IJNS) Volume 10, 2020

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 126

ISBN-13:

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International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem
Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem

Author: Avishek Chakraborty

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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Neutrosophic set can deal with the uncertainties related to the information of any decision making problem in real life scenarios, where fuzzy set may fail to handle those uncertainties properly. In this study, we present the perception of trapezoidal bipolar neutrosophic numbers and its classification in different frame. We introduce the idea of disjunctive structures of trapezoidal bipolar neutrosophic numbers namely type-1 trapezoidal bipolar neutrosophic number, type-2 trapezoidal bipolar neutrosophic numbers, and type-3 trapezoidal bipolar neutrosophic number based on the perception of dependency among membership functions in neutrosophic set. In any neutrosophic decision-making problem, the decision maker uses the comparison of neutrosophic numbers to choose among alternatives solutions. Here, we introduce a ranking method, i.e., Debipolarization scheme for trapezoidal bipolar neutrosophic number (TrBNN) using removal area technique. We also describe the utility of trapezoidal bipolar neutrosophic number and its appliance in a multi criteria group decision making problem (MCGDM) for distinct users in trapezoidal bipolar arena which is more ethical, precise and reliable in neutrosophic field.

Neutrosophic Sets and Systems, Vol. 36, 2020
Neutrosophic Sets and Systems, Vol. 36, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 410

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.